2667552 has 48 divisors (see below), whose sum is σ = 7201152. Its totient is φ = 864000.

The previous prime is 2667503. The next prime is 2667569. The reversal of 2667552 is 2557662.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3177 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (150024).

2^2667552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600576).

2667552 is an abundant number, since it is smaller than the sum of its proper divisors (4533600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2667552 is a wasteful number, since it uses less digits than its factorization.

2667552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 2667552 is about 1633.2642162247. The cubic root of 2667552 is about 138.6875995683.

The spelling of 2667552 in words is "two million, six hundred sixty-seven thousand, five hundred fifty-two".